Answer:
x = 5
y = 4
Step-by-step explanation:
just substitute the value of one variable into the other
-x +y = -1
or y = -1 +x <-------- (i just added x to the right side)
now u know what y is equal to, just substitute that value into the first equation
2x - (-1+x) = 6 <-------- instead of y, i put the value of y from the 2 equation
NOW SOLVE FOR X!
2x +1 -x = 6
x + 1 = 6
x = 5
now solve for y since you have the value of x
y = -1 + x
or y = -1 + 5
y = 4
Answer:
packages of buns = 1,260
packages of patties = 840
Jars of pickles = 1,680
Step-by-step explanation:
packages of buns = 3
packages of patties = 2
Jars of pickles = 4
Number of people = 420
Each person of the 420 people gets packages of buns, packages of patties, and jars of pickles in the ratio 3:2:4
packages of buns needed for 420 people = 3 × 420
= 1,260
packages of patties needed for 420 people = 2 × 420
= 840
Jars of pickles needed for 420 people = 4 × 420
= 1,680
packages of buns = 1,260
packages of patties = 840
Jars of pickles = 1,680
To feed at least 420 people minimum number of packages of buns, packages of patties, and jars of pickles needed is 1,260, 840, 1,680 respectively.
Answer:
The standard form of the equation of the parabola is (y + 2)² = 8 (x - 3)
Step-by-step explanation:
The standard form of the equation of a parabola is (y - k)² = 4p (x - h), where
- The vertex of the parabola is (h , k)
- The focus is (h + p, k)
∵ The vertex of the parabola is (3 , -2)
∴ h = 3 and k = -2
∵ The focus is (5 , -2)
∴ h + p = 5
- Substitute h by 3 to find p
∵ 3 + p = 5
- Subtract 3 from both sides
∴ p = 2
∵ The standard form of the equation of the parabola is (y - k)² = 4p (x - h)
- Substitute the values of h , k , and p in the equation
∴ (y - -2)² = 4(2) (x - 3)
∴ (y + 2)² = 8 (x - 3)
The standard form of the equation of the parabola is (y + 2)² = 8 (x - 3)
In order to convert a mixed number into its simplest form you must first divide the denominator by the numerator then convert the answer back to fraction form.
in order to concert a decimal into a fraction you must first find out how many times the decimal goes into one hundred then with the rest of the number you repeat until you finally get you fraction.
I would choose Plan 2
Divide the number money by the number of square feet.
Plan 2 is $120 cost per square when you divide 288000÷2400=120.
Thats the least expensive for 1 square ft.
